10257621358653 has 24 divisors (see below), whose sum is σ = 14856655432320. Its totient is φ = 6819913013760.

The previous prime is 10257621358619. The next prime is 10257621358667. The reversal of 10257621358653 is 35685312675201.

10257621358653 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 7 + 6 + 2 + 1 + 3 + 586 + 53 = 666.

It is not a de Polignac number, because 10257621358653 - 2²¹ = 10257619261501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10257621358653.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10257621358253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55141468 + ... + 55327178.

It is an arithmetic number, because the mean of its divisors is an integer number (619027309680).

Almost surely, 2^{10257621358653} is an apocalyptic number.

It is an amenable number.

10257621358653 is a deficient number, since it is larger than the sum of its proper divisors (4599034073667).

10257621358653 is a wasteful number, since it uses less digits than its factorization.

10257621358653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202289 (or 202286 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 10257621358653 in words is "ten trillion, two hundred fifty-seven billion, six hundred twenty-one million, three hundred fifty-eight thousand, six hundred fifty-three".